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3 years ago

Where can the medians of a triangle intersect?

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer: Choice A) I only

The medians are completely contained inside the triangle. A median stretches from a vertex to the midpoint of the opposite side. As the entire line segment is inside the triangle, this means that the centroid (where the medians meet) is also inside the triangle. This applies for any type of triangle (acute, right, or obtuse)

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City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$

and

$L(p(x))=p(0.97)$

So, the evaluationg p(x) into L(p), we have:

$L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}$

Hence, the correct option is:

The third option,

$L(p(x))=2.425(1.082)^{x}$

Have a nice day!

6 0

4 years ago

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t

Amanda [17]

Answer:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

$df = n-1= 22-1=21$

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

$\bar X=33.9$ represent the sample mean

$s=4.1$ represent the sample standard deviation

$n=22$ sample size

$\mu_o =26$ represent the value that we want to test

$\alpha=0.025$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:

Null hypothesis: $\mu \geq 36$

Alternative hypothesis: $\mu < 36$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

Now we can calculate the critical value but first we need to find the degreed of freedom:

$df = n-1= 22-1=21$

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

$t_{\alpha/2}= -2.08$

3 0

3 years ago

Angle 3 is equal to angle

Phoenix [80]

Angle 3 is equal to angle 5 because of vertical angles.

3 0

4 years ago

Read 2 more answers

X^{2} -25=0 Please help meeee

-BARSIC- [3]

Answer:

$x=5,x=-5$

Step-by-step explanation:

$x^2-25=0$

Add 25 to both sides:

$x^2-25+25=0+25$

$x^2=25$

Square root both sides:

$x=\sqrt{25},\:x=-\sqrt{25}$ (Since a negative number multiplied by itself gives positive, there are two answers.)

$x=5,x=-5$

8 0

4 years ago

Read 2 more answers

PLEASE HELP!!!!!!! this is really hard!!!

bekas [8.4K]

When Anne Betty and Cynthia compared the amount of money each had, they discovered that Anne and Betty together had $12 Betty and Cynthia together had $18 and Anne and Cynthia together had $10.
<span>Who had the least amount of money? and how much was it?
a +b = 12
b + c = 18
a + c = 10
So what I did is simple XD A logical guess and check. I started with a = 1, but that was to little. And also didn't match up. So I kept going up and got a = 2, b = 10, and c = 8</span>

4 0

4 years ago